(x+12)(x+12)=0-144

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Solution for (x+12)(x+12)=0-144 equation:


Simplifying
(x + 12)(x + 12) = 0 + -144

Reorder the terms:
(12 + x)(x + 12) = 0 + -144

Reorder the terms:
(12 + x)(12 + x) = 0 + -144

Multiply (12 + x) * (12 + x)
(12(12 + x) + x(12 + x)) = 0 + -144
((12 * 12 + x * 12) + x(12 + x)) = 0 + -144
((144 + 12x) + x(12 + x)) = 0 + -144
(144 + 12x + (12 * x + x * x)) = 0 + -144
(144 + 12x + (12x + x2)) = 0 + -144

Combine like terms: 12x + 12x = 24x
(144 + 24x + x2) = 0 + -144

Combine like terms: 0 + -144 = -144
144 + 24x + x2 = -144

Solving
144 + 24x + x2 = -144

Solving for variable 'x'.

Reorder the terms:
144 + 144 + 24x + x2 = -144 + 144

Combine like terms: 144 + 144 = 288
288 + 24x + x2 = -144 + 144

Combine like terms: -144 + 144 = 0
288 + 24x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-288' to each side of the equation.
288 + 24x + -288 + x2 = 0 + -288

Reorder the terms:
288 + -288 + 24x + x2 = 0 + -288

Combine like terms: 288 + -288 = 0
0 + 24x + x2 = 0 + -288
24x + x2 = 0 + -288

Combine like terms: 0 + -288 = -288
24x + x2 = -288

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = -288 + 144

Reorder the terms:
144 + 24x + x2 = -288 + 144

Combine like terms: -288 + 144 = -144
144 + 24x + x2 = -144

Factor a perfect square on the left side:
(x + 12)(x + 12) = -144

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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